List

Year 6 Working systematically

Dicey Perimeter, Dicey Area
game
Favourite

Dicey perimeter, dicey area

In this game for two players, you throw two dice and find the product. How many shapes can you draw on the grid which have that area or perimeter?
problem
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The moons of Vuvv

Age
7 to 11
Challenge level
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The planet of Vuvv has seven moons. Can you work out how long it is between each super-eclipse?

Plenty of Pens
problem
Favourite

Plenty of pens

Age
7 to 11
Challenge level
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Amy's mum had given her £2.50 to spend. She bought four times as many pens as pencils and was given 40p change. How many of each did she buy?

First Connect Three
problem
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First connect three

Age
7 to 11
Challenge level
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Add or subtract the two numbers on the spinners and try to complete a row of three. Are there some numbers that are good to aim for?
Domino sets
problem
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Domino sets

Age
7 to 11
Challenge level
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How do you know if your set of dominoes is complete?

Shape Draw
problem
Favourite

Shape draw

Age
7 to 11
Challenge level
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Use the information on these cards to draw the shape that is being described.

Round the Four Dice
problem
Favourite

Round the four dice

Age
7 to 11
Challenge level
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This activity involves rounding four-digit numbers to the nearest thousand.
Round the Three Dice
problem
Favourite

Round the three dice

Age
7 to 11
Challenge level
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What happens when you round these three-digit numbers to the nearest 100?

4 by 4 Mathdokus
problem
Favourite

4 by 4 Mathdokus

Age
7 to 14
Challenge level
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Can you use the clues to complete these 4 by 4 Mathematical Sudokus?

Round and round the circle
problem
Favourite

Round and round the circle

Age
7 to 11
Challenge level
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What happens if you join every second point on this circle? How about every third point? Try with different steps and see if you can predict what will happen.

Making Cuboids
problem
Favourite

Making cuboids

Age
7 to 11
Challenge level
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Let's say you can only use two different lengths - 2 units and 4 units. Using just these 2 lengths as the edges how many different cuboids can you make?
Mystery Matrix
problem
Favourite

Mystery matrix

Age
7 to 11
Challenge level
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Can you fill in this table square? The numbers 2 -12 were used to generate it with just one number used twice.
Factor Lines
problem
Favourite

Factor lines

Age
7 to 14
Challenge level
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Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.
Orange Drink
problem
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Orange drink

Age
7 to 11
Challenge level
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A 750 ml bottle of concentrated orange squash is enough to make fifteen 250 ml glasses of diluted orange drink. How much water is needed to make 10 litres of this drink?

Factor-Multiple Chains
problem
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Factor-multiple chains

Age
7 to 11
Challenge level
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Can you see how these factor-multiple chains work? Find the chain which contains the smallest possible numbers. How about the largest possible numbers?
Button-Up Some More
problem
Favourite

Button-up some more

Age
7 to 11
Challenge level
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How many ways can you find to do up all four buttons on my coat? How about if I had five buttons? Six ...?

Price Match
problem
Favourite

Price match

Age
7 to 11
Challenge level
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Can you find pairs of differently sized windows that cost the same?

Different Deductions
problem
Favourite

Different deductions

Age
7 to 11
Challenge level
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There are lots of different methods to find out what the shapes are worth - how many can you find?

Two and Two
problem
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Two and two

Age
7 to 16
Challenge level
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How many solutions can you find to this sum? Each of the different letters stands for a different number.

Quadrilaterals
problem
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Quadrilaterals

Age
7 to 11
Challenge level
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How many DIFFERENT quadrilaterals can be made by joining the dots on the 8-point circle?

Ten Hidden Squares
problem
Favourite

Ten hidden squares

Age
7 to 14
Challenge level
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These points all mark the vertices (corners) of ten hidden squares. Can you find the 10 hidden squares?

Triangles all Around
problem
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Triangles all around

Age
7 to 11
Challenge level
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Can you find all the different triangles on these peg boards, and find their angles?